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# Recent problems solved by 'stanbon'

stanbon answered: 57222 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

 Probability-and-statistics/230978: In the US, the highest incidence of fraternal twins birth occurs among Asian-Americans, then African-Americans, then Caucasians. Of every 14600 births, the total number of fraternal twins births for all three is 701, where there are 176 more for Asian-Americans than African-Americans and 218 more for Asian-Americans than Caucasians. Determine the number for each race. Out of every 14600 births, there are _____ sets of Asian-Americans twins, _____ sets of African-American twins, and _____ sets of Caucasian twins.1 solutions Answer 171047 by stanbon(57290)   on 2009-10-24 22:05:39 (Show Source): You can put this solution on YOUR website!In the US, the highest incidence of fraternal twins birth occurs among Asian-Americans, then African-Americans, then Caucasians. Of every 14600 births, the total number of fraternal twins births for all three is 701, where there are 176 more for Asian-Americans than African-Americans and 218 more for Asian-Americans than Caucasians. Determine the number for each race. -------------------- As + Af + Ca = 701 As = Af +176 As = Ca + 218 ------------------------ Substitute for Af and Ca to solve for As Af = As-176 Ca = As-218 --- As + (As-176) + (As-218) = 701 3As - 394 = 701 3As = 1095 As = 365 (# of Asian-American twin births) ---- Since Af = As-176, Af = 365-176 = 189 (# of African-American twin births) ---------- Since Ca = As-218, Ca = 365-218 = 147 (# of Caucasian-American twin births) ---------------------------------------------------------- Cheers, Stan H.
 Linear-systems/230979: I need help as to how this word problem is to be set up: Suppose a chemist is mixing to acid solutions, one of 20% and the of 30% concentration. Which one o the following concentratons could not be obtained: A 22%, B 24% C 28% D 32% The answer is D. I need some intruction as to how to set this problem up. 1 solutions Answer 171044 by stanbon(57290)   on 2009-10-24 21:53:59 (Show Source): You can put this solution on YOUR website!I need help as to how this word problem is to be set up: Suppose a chemist is mixing to acid solutions, one of 20% and the of 30% concentration. Which one o the following concentratons could not be obtained: A 22%, B 24% C 28% D 32% The answer is D. I need some intruction as to how to set this problem up. ------------------- No setup is needed for this one. It comes down to this: If you add a 20% and a 30% the 20% will dilute the 30% and give you a mixture that is less than 30%. You could not possible end up witha 32% solution. ======================================================= Cheers, Stan H.
 Polynomials-and-rational-expressions/230967: what would you add to 4x^2-6x to make it a complete squre? a.4/9 b.9/16 c.16/25 d.4/25 e.9/251 solutions Answer 171041 by stanbon(57290)   on 2009-10-24 21:50:14 (Show Source): You can put this solution on YOUR website!what would you add to 4x^2-6x to make it a complete square? --------- If you square ax-b you get: a^2x^2 - 2abx + b^2 ----- Your problem: a^2 = 4, so a = 2. -2ab = -6, so -2*2*b = -6 ; So b = -6/-4 = 3/2 --------------------------- You need to add b^2 = 9/4 --- None of the answers you listed is correct. Cheers, Stan H. a.4/9 b.9/16 c.16/25 d.4/25 e.9/25
 Probability-and-statistics/230971: statistics show that 80% of crimes are never solved.suppose a neighborhood district in a large city suffers repeated crimes the police are investigating 6 property crime cases in this district. a) what is the probability that none will ever be solved b0probability at least one will be solved c0expected # of crimes that will be solved and what is the standard deviation1 solutions Answer 171040 by stanbon(57290)   on 2009-10-24 21:38:24 (Show Source): You can put this solution on YOUR website!statistics show that 80% of crimes are never solved.suppose a neighborhood district in a large city suffers repeated crimes the police are investigating 6 property crime cases in this district. a) what is the probability that none will ever be solved 0.8^6 = 0.2621 --------------------------- b) probability at least one will be solved P(at least one solved) = 1 - P(none solved) = 1-0.2621 = 0.737856... -------------------------------------- c) expected # of crimes that will be solved and what is the standard deviation -------------- Expected number = np Expected number = 6*0.8 = 4.8 Std = sqrt(6*0.8*0.2) = 0.9798 ====================================== Cheers, Stan H.
 Money_Word_Problems/230895: Word Problem Six - A group of people come forward to claim a \$1,000,000 lottery jackpot, which the winners are to share equally. Before the jackpot is divided, three more winning ticket holders show up. As a result, each person's share is reduced by \$75,000. How many winners are there and what were their shares? (Show a complete algebraic solution for the problem and check the answer.)1 solutions Answer 171039 by stanbon(57290)   on 2009-10-24 21:06:06 (Show Source): You can put this solution on YOUR website!A group of people come forward to claim a \$1,000,000 lottery jackpot, which the winners are to share equally. Before the jackpot is divided, three more winning ticket holders show up. As a result, each person's share is reduced by \$75,000. How many winners are there and what were their shares? ---------------------- Let the original group size of winners be "x"; The original average prize would be 1,000,000/x dollars ------------------------------- Number of winners after 3 more join is "x+3" New average prize is 1,000,000/(x+3) dollars -------------------------------- Equation: Original - New = 75000 1,000,000/x - 1,000,000/(x+3) = 75000 -------------------------------------- Divide through by 75000 to get: 13.333/x - 13.333/(x+3) = 1 Multiply thru by x(x+3) (40/3)(x+3) - (40/3)x = x^2+3x Multiply thru by 3: 40x + 120 - 40x = 3x^2+9x 3x^2 + 9x -120 = 0 x^2 + 3x - 40 = 0 Positive Solution: x = [-3 + sqrt(9-4*-40)]/2 --- x = [-3 + sqrt(169)]/2 x = [-3 + 13]/2 x = 5 (original number of winners) x+3 = 8 (total number of winners) --------------- 1,000,000/8 = \$125,000 (amount each winner received) =========================================================== Cheers, Stan H.
 Probability-and-statistics/230965: A fair die is rolled. If a number 1 or 2 appears, you will receive \$5. If any other number appears, you will pay \$2. What is the mean value of one trial of this game? 1 solutions Answer 171036 by stanbon(57290)   on 2009-10-24 20:51:29 (Show Source): You can put this solution on YOUR website!A fair die is rolled. If a number 1 or 2 appears, you will receive \$5. If any other number appears, you will pay \$2. What is the mean value of one trial of this game? ------------------------------------- Random Variable X has two values: 5 and -2 The corresponding probabilities are (2/6) and (4/6) -------------------------------------- Mean Value of one trial is (2/6)*5 + (4/6)(-2) = (10/6) - (8/6) = 2/6 dollars = 33 1/3 cents ================================================== Cheers, Stan H.
 Human-and-algebraic-language/230888: If a*b=ab+1 and a~b=a+b+1 what is the value of 4*[(6~8)~(3*5)]?1 solutions Answer 170990 by stanbon(57290)   on 2009-10-24 16:04:12 (Show Source): You can put this solution on YOUR website!If a*b=ab+1 and a~b=a+b+1 what is the value of 4? ------------------------------------------- Evaluate the parentheses: --- = 4*((6+8+1)~(15+1)) --- Simplify: = 4
 Probability-and-statistics/230877: The diameters of grapefruits in a certain orchard are normally distributed with a mean of 6.85 inches and a standard deviation of 0.80 inches. Show all work. (A) What percentage of the oranges in this orchard have diameters less than 6.3 inches? (B) What percentage of the oranges in this orchard are larger than 6.75 inches? (C) A random sample of 100 oranges is gathered and the mean diameter obtained was 6.75. If another sample of 100 is taken, what is the probability that its sample mean will be greater than 6.75 inches? (D) Why is the z-score used in answering (A), (B), and (C)? (E) Why is the formula for z used in (C) different from that used in (A) and 1 solutions Answer 170987 by stanbon(57290)   on 2009-10-24 15:42:44 (Show Source): You can put this solution on YOUR website!The diameters of grapefruits in a certain orchard are normally distributed with a mean of 6.85 inches and a standard deviation of 0.80 inches. Show all work. (A) What percentage of the oranges in this orchard have diameters less than 6.3 inches? z(6.5)=(6.3-6.85)/0.8 = -0.6875 P(x< 6.3) + P(z < -0.6875) = 24.59% -------------------------------------------- (B) What percentage of the oranges in this orchard are larger than 6.75 inches? Same process. Fid the z-value of 6.75 Find the percentages greater than that z-value. ------------------------------------------------------ (C) A random sample of 100 oranges is gathered and the mean diameter obtained was 6.75. If another sample of 100 is taken, what is the probability that its sample mean will be greater than 6.75 inches? --- The std has changed to 0.8/sqrt(100) = 0.08 --- z(6.75) = (6.75-6.85)/0.08 = -1.25 P(x > 6.75) = (z > -1.25) = 0.8944 (D) Why is the z-score used in answering (A), (B), and (C)? I'll leave that to you. It's probably explained in your text. (E) Why is the formula for z used in (C) different from that used in (A) and The sample means have distribution (u,sigma/sqrt(n)) according to the Central Limit Theorem. ==================================== Cheers, Stan H.
 Probability-and-statistics/230836: i have two questions that are very similiar.. \$8,000 is compounded annually for 3 years at a rate of 6%. How much is in the account at the end of the term? \$4,000 compounded semiannually for 5 years at a rate of 4%. How much is in the account at the end of the term? thank you for your time!1 solutions Answer 170960 by stanbon(57290)   on 2009-10-24 12:32:55 (Show Source): You can put this solution on YOUR website!Amount after t years when n is the # of times compounded each year and rate=r --------------------- A(t)=P(1+(r/n))^(nt) --------------------------- \$8,000 is compounded annually for 3 years at a rate of 6%. How much is in the account at the end of the term? A(3) = 8000(1+ (0.06/1)^(1*3) = 8000(1.06)^3 = 8000*1.1910.. A(3) = \$9528.13 ------------------ 4,000 compounded semiannually for 5 years at a rate of 4%. How much is in the account at the end of the term? A(5) = 4000(1+(0.04/2))^(2*5) A(5) = \$4875.98 ======================== Cheers, Stan H.
 Equations/230834: Find the value of p and the value of q x^-6x+15 = (x-p)^+q1 solutions Answer 170957 by stanbon(57290)   on 2009-10-24 12:07:04 (Show Source): You can put this solution on YOUR website!Find the value of p and the value of q x^2-6x+15 = (x-p)^2+q --------------- x^2 - 6x + 15 = x^2 - 2px + p^2 + q ----------------------------------------- Equating the corresponding coefficients you get: -2p = -6 p^2+q = 15 --------------- solve the 1st for "p": p = 3 ---- Substitute into the 2nd equation and solve for "q": 9 + q = 15 q = 6 ================== Cheers, Stan H.
 Numbers_Word_Problems/230833: a plumber and his apprentice work for 8 hours. The plumber makes \$4.50 more than the apprentice. How much do they each make1 solutions Answer 170955 by stanbon(57290)   on 2009-10-24 12:02:38 (Show Source): You can put this solution on YOUR website!a plumber and his apprentice work for 8 hours. The plumber makes \$4.50 more than the apprentice per hour. How much do they each make ----------------------- Let plumber make x + 4.5 per hour Then aprentice makes x per hr -------------- In 8 hrs the plumber makes 8x + 8*4.5 = (8x+36) dollars In 8 hrs the apprentice makes 8x dollars -------------------------------------------------- Dheers, Stan H.
 Age_Word_Problems/230832: If someone is 2/3's older than someone else how is that written algebraically1 solutions Answer 170952 by stanbon(57290)   on 2009-10-24 11:56:00 (Show Source): You can put this solution on YOUR website! If someone is 2/3's older than someone else how is that written algebraically ---------------------- If you are x yrs old Your father may be x + (2/3)x yrs. old ---------------------------- Equation: F = (1 + (2/3))Y F = (5/3)Y This equation means "your father's age is (5/3)times your age", which means he is 2/3 older than you. ================================================================= Cheers, Stan H.
 logarithm/230830: rewrite the expression as a single logarithm 1/2logX-logY-3logZ+1/4logP having trouble making this into a single logarithm hope you can help thanks nancy1 solutions Answer 170950 by stanbon(57290)   on 2009-10-24 11:50:55 (Show Source): You can put this solution on YOUR website!rewrite the expression as a single logarithm 1/2logX-logY-3logZ+1/4logP --- log[x^(1/2)] - log(y) - log(z^3) + log(p^(1/4)) --- = log{[p^(1/4)*(x)^(1/2)]/[log(y*z^3)]} ================== Cheers, Stan H.
 Numeric_Fractions/230820: How do I solve for r where: (1/(1+r))*(30/r)-100 = 0 I'm getting stuck on the steps in te middle..."the work"...1 solutions Answer 170948 by stanbon(57290)   on 2009-10-24 11:46:19 (Show Source): You can put this solution on YOUR website! How do I solve for r where: (1/(1+r))*(30/r)-100 = 0 ----------------- Multiply thru by r(1+r) to get: (30)-100r(r+1) = 0 --- -100r^2-100r+30 = 0 Divide thru by -10 to get: 10r^2 + 10r - 3 = 0 --- Use the quadratic formula: r = [-10 +- sqrt(100 - 4*10*-3)]/20 --- r = [-10 +- sqrt(220)]/20 --- r = [-10 +- 2sqrt(55)]/20 x = [-1/2 + (1/10)sqrt(55)] or x = [-1/2 + (1/10)sqrt(55)] ======================================== Cheers, Stan H.
 Probability-and-statistics/230708: A study was done to see if allergic hypersensitivity to dental materials was more common in men than women. Seventy-five out of 150 men exhibited allergic hypersensitivity and 60 out of 150 women exhibited allergic hypersensitivity. State the null and alternative hypothesis and perform appropriate statistical test1 solutions Answer 170944 by stanbon(57290)   on 2009-10-24 11:36:27 (Show Source): You can put this solution on YOUR website!A study was done to see if allergic hypersensitivity to dental materials was more common in men than women. Seventy-five out of 150 men exhibited allergic hypersensitivity and 60 out of 150 women exhibited allergic hypersensitivity. State the null and alternative hypothesis and perform appropriate statistical test ------------- Ho: p(men)-p(women) = 0 Ha: p(men)-p(women) > 0 ------------------------------- P-hat(men) = 1/2 p-hat(women) = 60/150 = 2/5 ------------------------------- I ran a 2-prop Ztest and got the following: test statistic: z=1.7408 p-value = 0.0407 ------------------------------------- Conclusion: Reject Ho at the 5% significance level because 4.07% is less than 5% --------------------------------- Fail to reject at the 1% significance level because 4.07% is greater than 1% ============================================= Cheers, Stan H.
 Complex_Numbers/230801: What complex number (a+bi) lets radical i equal to a+bi.1 solutions Answer 170923 by stanbon(57290)   on 2009-10-24 09:22:19 (Show Source): You can put this solution on YOUR website!What complex number (a+bi) lets radical i equal to a+bi. ---- Solve i(a+bi) = a+bi a+bi = (a+bi)/i a+bi = -i(a+bi)/(i*-i) a+bi = -i(a+bi)/1 a+bi = b-ai ------------------- Ans: b-ai ========================= Cheers, Stan H.
 Distributive-associative-commutative-properties/228793: How do i do this problem step by step. 13[7+w+(-9)] &&, -29(p-21-5)1 solutions Answer 170922 by stanbon(57290)   on 2009-10-24 09:18:50 (Show Source): You can put this solution on YOUR website!How do i do this problem step by step. 13[7+w+(-9)] simplify the parentheses = 13[w-2] Use the distributive law to get: = 13w - 26 ====================== &&, -29(p-21-5) simplify the parentheses = -29(p-26) Use the distributive law to get: =-29p + 754 ================= Cheers, Stan H.
 Miscellaneous_Word_Problems/230793: A computer can do one calculation in 1.4 X 10^-7 seconds. How long would it take the computer to do a trillion (10^12) calculations? (Round to one decimal point)Express answer in scientific notation.1 solutions Answer 170921 by stanbon(57290)   on 2009-10-24 09:13:27 (Show Source): You can put this solution on YOUR website!A computer can do one calculation in 1.4 X 10^-7 seconds. How long would it take the computer to do a trillion (10^12) calculations? (Round to one decimal point)Express answer in scientific notation. --- Use a proportion 1/1.4x10^-7 = 10^12/x ---- x = 10^12[1.4*10^-7) = 1.4*10^5 seconds ------------------------------------- ======================================= Cheers, Stan H.
 Miscellaneous_Word_Problems/230794: A semicircular window of radius 16 inchesis to be laminated with a sunblock coating that costs \$0.65 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (Use the Area of a Circle and Pi = 3.14)1 solutions Answer 170920 by stanbon(57290)   on 2009-10-24 09:08:25 (Show Source): You can put this solution on YOUR website!A semicircular window of radius 16 inches is to be laminated with a sunblock coating that costs \$0.65 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (Use the Area of a Circle and Pi = 3.14) -------------- Area = pi*r^2 Semi-Area = (1/2)pi*r^2 SA = (1/2)(3.14)*8^2 = 100.48 sq.in. ------------------------------------ Cost = 0.65*100.48 = \$65.31 ================================== Cheers, Stan H.
 Graphs/230788: -5x+2y=-10 3x-6y=-18 what would be the steps and the answer to this problem in substitution, elimination and how would it be graphed. PLEASE HELP ME!!!!!!1 solutions Answer 170919 by stanbon(57290)   on 2009-10-24 09:04:06 (Show Source): You can put this solution on YOUR website!1) -5x+2y=-10 2) 3x-6y=-18 what would be the steps and the answer to this problem in substitution, elimination and how would it be graphed. ------------------- Substitution: Solve the 1st for y they substitute that into the 2nd 1)y = (5/2)x -5 2) 3x -6(5/2)x-5) = -18 --- Solve 2nd for "x" 3x-15x+30 = -18 -12x = -48 x = 4 ------- Substitute that into y = (5/2)x-5 to solve for "y": y = (5/2)4-5 = 5 ------------------------- Solution (4,5) ============================================ 1) -5x+2y=-10 2) 3x-6y=-18 --- Elimination: Multiply thru 1st by 3 to get: 1) -15x+6y = -30 2) 3x-6y = -18 ------------------- Add and solve for "x" -12x = -48 x = 4 ----------- Substitute that into 1st or 2nd and solve for "y": 3*4-6y = -18 12-6t = -18 -6y = -30 y = 5 ------------- Same solution as above ============================== 1) -5x+2y=-10 2) 3x-6y=-18 -- Graphing: Solve each equation for "y": 1) y = (5/2)x-5 2: y = (1/2)x+3 ---- Plot two points for each of the equations. Drar a line thru each pair of points and find the intersection. --- ==================== Cheers, Stan H.
 Expressions-with-variables/230789: Here is the question: "A leaky faucet drips at the rate of 1 drip every 3 seconds, and 165 drips will fill one eight-ounce cup. How many gallons of water will drip in one year?" What I don't understand is how to make it into an equation (so that I can solve it). I don't need the solution, just how to put it into an equation. Any help would be greatly appreciated! Thanks!1 solutions Answer 170918 by stanbon(57290)   on 2009-10-24 08:48:48 (Show Source): You can put this solution on YOUR website!Here is the question: "A leaky faucet drips at the rate of 1 drip every 3 seconds, and 165 drips will fill one eight-ounce cup. How many gallons of water will drip in one year?" ------------- You have to take it one step at a time. How many seconds in a year? look it up or figure it out How many intervals of 3-seconds in a year? divide by 3 --------------------- How many sets of 165 drips in the above. divide by 165 ----------------------- How many eight-ounce cups make a gallon. look it up ---------------------------- Cheers, Stan H.
 Exponents-negative-and-fractional/230791: If f(x) = 2x-4, find f^-1(x)1 solutions Answer 170917 by stanbon(57290)   on 2009-10-24 08:42:27 (Show Source): You can put this solution on YOUR website! If f(x) = 2x-4, find f^-1(x) ------------ y = 2x-4 To find the inverse: interchange x and y to get: x = 2y-4 solve for y: y = (x+4)/2 That is the inverse ========================== Cheers, Stan H.
 Radicals/230792: y varies directly as x and inversely as the square root of w; write the sentence as an equationThank you1 solutions Answer 170916 by stanbon(57290)   on 2009-10-24 08:40:33 (Show Source): You can put this solution on YOUR website!y varies directly as x and inversely as the square root of w; write the sentence as an equationThank you ------------ y = k[x/sqrt(w)] ==================== Cheers, Stan H.
 Probability-and-statistics/230751: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt “just on this trip”? 1 solutions Answer 170914 by stanbon(57290)   on 2009-10-24 08:23:43 (Show Source): You can put this solution on YOUR website!The robability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? The probability of no fatal accident in 50,000 trips is (3,999,999/4,000,000)^(50,000) = 0.987578..... So the probability of having a fatal accident is 1-0.987578... = 0.0124... The probability changes from youth to middle age to old age. ----------------------------------------------------------------- (b) Why might a driver be tempted not to use a seat belt “just on this trip”? Because the probability is so small on each individual trip. =============================== Cheers, Stan H.
 Probability-and-statistics/230753: A poker hand (5 cards) is drawn from an ordinary deck of 52 cards. Find the probability of each event, showing your reasoning carefully. a. The first four cards are the four aces. b. Any four cards are the four aces. 1 solutions Answer 170913 by stanbon(57290)   on 2009-10-24 08:18:41 (Show Source): You can put this solution on YOUR website!A poker hand (5 cards) is drawn from an ordinary deck of 52 cards. Find the probability of each event, showing your reasoning carefully. a. The first four cards are the four aces. (4/52)(3/51)(2/50)(1/49) ------------------------------------------ b. Any four cards are the four aces. 4C4/52C4 = 1/270725 ------------------------------------------ These answers are the same. ------------------------------------------ Cheers, Stan H.
 Quadratic_Equations/230711: For each function,(a) determine whether the graph opens upward or downward,(b) find the axis of symmetry,(c)find the vertex,(d)find the y-intercept, and (e)graph the function. g(x)=(x-1)to the power of two I tried putting the equation in standard form which would come out as x to the power of two plus x plus 1. I know what "a" is and "c" but I can't seem to find out "x" because the answer I came out with, which was 1/2, is different form the book which does not give an explanation.1 solutions Answer 170895 by stanbon(57290)   on 2009-10-23 22:23:41 (Show Source): You can put this solution on YOUR website!For each function, g(x)=(x-1)^2 (a) determine whether the graph opens upward or downward, Upward ------------------ (b) find the axis of symmetry, x = 1 -------------------- (c)find the vertex, (1,f(1)) = (1,0) --------------------- d)find the y-intercept, Let x = 0 ; then y = 1 ---- (e)graph the function. =============================================== Cheers, Stan H.
 Trigonometry-basics/230729: Hello, I need help simplifying this trigonometry function: Thank you~1 solutions Answer 170893 by stanbon(57290)   on 2009-10-23 22:18:00 (Show Source): You can put this solution on YOUR website!You did not post an equation so there is nothing to solve. Cheers, Stan H.
 Trigonometry-basics/230712: the hypotenuse of a right triangle PQR is 16 feet long. the sine of angle P is 3/5, about how many feet long is QR ? TRIANGLE P |. |..... |....... |......... |........... |............. |------------- R Q1 solutions Answer 170892 by stanbon(57290)   on 2009-10-23 22:15:19 (Show Source): You can put this solution on YOUR website!the hypotenuse of a right triangle PQR is 16 feet long. the sine of angle P is 3/5, about how many feet long is QR ? TRIANGLE P |. |..... |....... |......... |........... |............. |------------- R Q =============================== sine(P) = QR/PR = 3/5 But PR = 16 So QR = 16(3/5) QR = 48/5 = 9 3/5 ft ===========================
 Exponents/230727: 3. Subract (2x^(3)+4x^(2)-9x) from (-5x^(3)+4x-12)1 solutions Answer 170890 by stanbon(57290)   on 2009-10-23 22:10:43 (Show Source): You can put this solution on YOUR website!Subract (2x^(3)+4x^(2)-9x) from (-5x^(3)+4x-12) ------------------------------------------------- (-5x^(3)+4x-12) - (2x^(3)+4x^(2)-9x) ----------------- -5x^3 + 4x - 12 - 2x^3 - 4x^2 + 9x --------------------------------------------- = -7x^3 -4x^2 + 13x -12 --------------------------------------------- Cheers, Stan H.
 Linear-equations/230716: Directions: Determinw whether the equation is a linear equation in two variables. 1st: How do I determine the method of solving the equation: 8x-7y2(2 squared that is)=5 I used the x/y setup by first using the number 1 to represent the y in this equation I determined that this is not a proper linear equation or am i wrong or how should I go about solving this equation? I isolated the x to one side and used 1 for the value of y and came up with: x-6.75 while y=1 (as I stated above) Thank You for your assistance 1 solutions Answer 170887 by stanbon(57290)   on 2009-10-23 22:04:22 (Show Source): You can put this solution on YOUR website!Determinw whether the equation is a linear equation in two variables. 1st: How do I determine the method of solving the equation: 8x-7y^2 = 5 --------------- The very fact that the equation has a factor of y^2 shows the equation is not linear. ------------------------------------ Cheers, Stan H.
 Exponents/230723: 7. Perform the operation by first converting to scientific notation. WRite the answer in scientific notation. 150,000/0.00051 solutions Answer 170886 by stanbon(57290)   on 2009-10-23 21:58:43 (Show Source): You can put this solution on YOUR website!WRite the answer in scientific notation. 150,000/0.0005 --- (150*10^3)/(5*10-4) --- 30*10^7 --- 3.0 * 10^8 =========================== Cheers, Stan H.